The Probability of Ruin in the Risk Model with the Limit of Ruin is Variation

The classic risk model was studied in many references recently and many useful results were gotten.Most of references assume that the 1imit of ruin is zero,however insurance agent will adjust its policy or declare bankruptcy when ist surplus under a limit.In this paper,we study the probability of ruin in classic risk model on the assumption that the limit of ruin is variation.We get the inequality of the probability of ruin.We give the inequalities and equations of the probability of ruin on the assumption that the limit of ruin is especial functions.In the end,the paper gives the inequality of the probability of ruin in generalized risk model.